Closed-form statistics for the sum of squared Nakagami-m variates and its applications

George K. Karagiannidis, Nikos C. Sagias, Theodoros A. Tsiftsis

Research output: Contribution to journalArticlepeer-review

151 Citations (Scopus)


We present closed-form expressions for the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of non-identical squared Nakagami-m random variables (RVs) with integer-order fading parameters. As it is shown, they can be written as a weighted sum of Erlang PDFs and CDFs, respectively, while the analysis includes both independent and correlated sums of RVs. The proposed formulation significantly improves previously published results, which are either in the form of infinite sums or higher order derivatives of the fading parameter m. The obtained formulas can be applied to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels.

Original languageEnglish
Pages (from-to)1353-1359
Number of pages7
JournalIEEE Transactions on Communications
Issue number8
Publication statusPublished - Aug 1 2006


  • Average symbol-error probability (ASEP)
  • Diversity
  • Maximal ratio combining (MRC)
  • Nakagami-m fading
  • Outage probability
  • Shannon's channel capacity
  • Sum of Erlang variates

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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